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Viscous modified gravity on a RS brane embedded in AdS5

  • Regular Article - Theoretical Physics
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Abstract

We consider a modified gravity fluid on a Randall–Sundrum II brane situated at y=0, the action containing a power α of the scalar curvature. As is known from 4D spatially flat modified gravity, the presence of bulk viscosity may drive the cosmic fluid into the phantom region (w<−1) and thereafter inevitably into the Big Rip singularity, even if it is initially nonviscous and lies in the quintessence region (w>−1). The condition for this to occur is that the bulk viscosity contains the power (2α−1) of the scalar expansion. We combine this with the 5D RS II model, and we find that the Big Rip, occurring for α>1/2, carries over to the metric for the bulk metric, |y|>0. Actually, the scale factors on the brane and in the bulk become simply proportional to each other.

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Authors and Affiliations

  1. Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    Iver Brevik

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  1. Iver Brevik
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Correspondence to Iver Brevik.

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Brevik, I. Viscous modified gravity on a RS brane embedded in AdS5 . Eur. Phys. J. C 56, 579–583 (2008). https://doi.org/10.1140/epjc/s10052-008-0678-3

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  • DOI: https://doi.org/10.1140/epjc/s10052-008-0678-3

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